I wonder if someone out there would help me understand the inner workings of MAPLE as indicated by the following: MAPLE has no trouble with int(sqrt(1-x^2)-x1,x=x1..sqrt(1-x1^2)); nor with this f1:=x->sqrt(1-x^2)-x1:int(f1(x),x=x1..sqrt(1-x1^2)); this one works too int(sqrt(r^2-x^2)-x1,x=x1..sqrt(r^2-x1^2)) assuming r>0,x1>0,r>x1; but for some reason not this one f2:=x->sqrt(r^2-x^2)-x1:int(f2(x),x=x1..sqrt(r^2-x1^2)) assuming r>0,x1>0,r>x1; Curiously, this works gg:=x->sqrt(r^2-x^2)-x1:int(gg(x),x):z:=unapply(%,x):z(sqrt(r^2-x1^2))-z(x1)

Playing with numerics for the hypergeometric function 2F1 i stumbled into the following exactness stuff, where lots of digits are lost and one needs to increase working precision quite a lot to get a good answer: f1 and f2 result from evaluating ugly, but usual transcendent functions, f3 comes through high precision and f0 is the limiting case.

  restart;
  
  hypergeom([1,2+epsilon],[3],z): 
  '%' = simplify(convert(%,StandardFunctions));
  theSol1:=rhs(%): 
  
  theSol1 = -2*(z*(1-z)^epsilon*epsilon-1+(1-z)^epsilon)/
    z^2/((1-z)^epsilon)/epsilon/(1+epsilon);
  is(%);

Here is my problem: #1 > plot([fx,x+6],x=-20..20,y=-15..20,color=red, thickness=2); Warning, unable to evaluate 1 of the 2 functions to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct graph a-e) > fx:=((x+2)^3)/((x^2)-1); equation

Is anyone here working on any of the millenium prize problems ? If so, or if you know of any efforts on one of these problems, do you know if Maple would be of any use ? v/r, dc

Is there a privacy statement somewhere on this site that one can read ? I was just wondering about the rights of users of Mapleprimes with respect to ownership of intellectual property after it is publicly released. For example, can Maplesoft and/or Mapleprimes use anything from the Mapleprimes site without the permission of the original author ? Was just wondering, v/r,

Sometimes when I reply to a forum posting, or look at some forum topics, the text box that would contain the body of the posting is misaligned from above formatting options, e.g. "I, B, spellcheck etc". It's pushed more to the right side of the screen, even after I scroll completely to the right. Thanks, Dan

Does anyone know how one would go about creating their own package ? thanks, Dan

A couple of years ago I did the following work on Trigonometric integration. Does anyone have any improvements to add to it? I would like to see it expanded to all complex numbers. I'll soon be working on it again. Download 565_Pre_exp[1].doc
View file details My Desire

Maple, Mathematica, and many other CAS define indefinite integral up to piecewise constants. That means, in particular, that the integral of a continuous function can be discontinuous. In many cases that can be easily fixed, such as for integrals involving floor(x) and frac(x). However, it has not been done neither in Maple nor in Mathematica. Here is another example, suggested by David W. Cantrell

int(1/(2+cos(x)),x);

               2/3*3^(1/2)*arctan(1/3*tan(1/2*x)*3^(1/2))

My Maple 10 software won't load on my computer. When i try to open it, the splash screen shows and stays for about a minute and then closes without opening maple at all. No error messages or anything, but maplew.exe shows in my windows task manager processes list. I'm running windows XP media center edition, core2duo 2.16, 2GB 667 ram, 100gig 7200. I'd appreciate any help i can get, thanks for your replies.

Since Tom is travelling the world, I figured this would be an appropriate topic. Please vote in the new poll, how many countries have you visited?

I am currently in Kuala Lumpur teaching a Maple course and I'm showing the participants MaplePrimes ... say hi to our Malaysian friends. Salam! T4 from Universiti Kebangsaan Malaysia!

This page contains a great collection of different Maplets. Many users will be intersted in the Sudoku maplet. There are also some other interesting tools and games there. http://maplenet.msc.uky.edu/maplets/

The site's search often doesn't produce any results even in the cases where Google search gives links to this site on the first two pages. Example - eludom. If that can't be improved, can at least a Google site search (i.e. with site:www.mapleprimes.com) be added as an alternative search option? Alec

First of all there is a problem with the way it saves the fonts. They don't work in all applications. Seccond, the major bug: This is when working with 3D graphs. Maple 10 saves the curves in a graph as a bunch of small lines. The problem is that each of these lines are saved several times, one after the other. Usually there will be 8 identical copies of each line saves, some going the opposite direction, but still the same line. Sometimes it will also consist of lines with no length at the endpoints. This way it can sometimes save a hundred (100) objects, for just one line, where each object is either just the exact same line, or a line with no length at one of the endpoints.